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Finding the Third Proportional to 40,724,613 and 56,965,761

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Solution

The third proportional to 40,724,613 and 56,965,761 is: 79,683,947.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,724,613 : 56,965,761 = 56,965,761 : x
  2. Step 2: Convert to fraction form
    40,724,613/56,965,761 = 56,965,761/x
  3. Step 3: Cross multiply
    40,724,613x = 56,965,761 × 56,965,761
  4. Step 4: Simplify right side
    40,724,613x = 3,245,097,926,309,121
  5. Step 5: Solve for x
    x = 3,245,097,926,309,121/40,724,613
  6. Step 6: Final answer
    x = 79,683,947.55

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.